Weighted approximation in \(\mathbb{C} \) (Q2305677)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted approximation in \(\mathbb{C} \) |
scientific article |
Statements
Weighted approximation in \(\mathbb{C} \) (English)
0 references
11 March 2020
0 references
The authors prove that if \(\{ \varphi_j\}_j\) is a sequence of subharmonic functions which is increasing to some subharmonic function \(\varphi\) on \(\mathbb{C} \), then the union of the weighted Hilbert spaces \(H(\varphi_j)\) is dense in the weighted Hilbert space \(H(\varphi )\).
0 references
entire functions
0 references
holomorphic approximation
0 references
subharmonic functions
0 references
Bergman kernel
0 references
\(L^2\)-estimates
0 references
0 references
